3413760 has 144 divisors (see below), whose sum is σ = 12558336. Its totient is φ = 774144.

The previous prime is 3413759. The next prime is 3413779. The reversal of 3413760 is 673143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3413760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26817 + ... + 26943.

Almost surely, 2^3413760 is an apocalyptic number.

3413760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279168).

3413760 is an abundant number, since it is smaller than the sum of its proper divisors (9144576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3413760 is a wasteful number, since it uses less digits than its factorization.

3413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 3413760 is about 1847.6363278524. The cubic root of 3413760 is about 150.5720379331.

The spelling of 3413760 in words is "three million, four hundred thirteen thousand, seven hundred sixty".